# Convolution : Impulse Response Representation for LTI Systems – 2 MCQ’s

This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Convolution : Impulse Response Representation for LTI Systems – 2″.

1. When the sequences x1 [n] = u [n] and x2 [n] = u [n-3], the output of LTI system is given as _____

a) y[n] = n-2, n>3

b) y[n] = n-2, n≥3

c) y[n] = n+2, n>3

d) y[n] = n-2, n≤3

2. The impulse response h (t) of an LTI system is given by e^{-2t}.u(t) . What is the step response?

a) y(t) = ^{1}⁄_{2} (1 – e^{-2t}) u (t)

b) y(t) = ^{1}⁄_{2} (1 – e^{-2t})

c) y(t) = (1- e^{-2t}) u (t)

d) y(t) = ^{1}⁄_{2} (e^{-2t}) u (t)

3. The convolution sum is given by _____ equation.

a)

b)

c)

d)

4. Is (t)*h(t) = h(t)*x(t)?

a) True

b) False

5. Convolve the signals e^{-2t} u(t), e^{-3t} u(t). Determine the output?

a) y(t) = (e^{-2t} – e^{-3t})u(t)

b) y(t) = (e^{-2t} – e^{-3t})

c) y(t) = (e^{-3t} – e^{-2t})u(t)

d) y(t) = (e^{-t} – e^{-3t})u(t)

6. Convolve graphically the below given signals, and determine the correct sequence?

a) Y (-1) = 0, y (1) = 2, y (3) = 2

b) Y (-1) = 2, y (1) = 2, y (3) = 2

c) Y (-1) = 0, y (1) = 0, y (3) = 2

d) Y (-1) = 0, y (1) = 3, y (3) = 2

7. Compute u (t) convolved with itself?

a) y(t)=t.u(t)

b) y(t)=u(t)

c) y(t)=t^{2}.u(t)

d) y(t)=t.u(t-1)

9. Convolve given x (t) with itself and choose the correct output.

a)

b)

c)

d)

10. Find the convolution of x1[n] = {1, 2, 3, 4} and x2[n] = {2, 1, 2, 1}.

a) Y[n] = {14, 10, 14, 10}

b) Y [n] = {14, 16, 14, 16}

c) Y [n] = {14, 16,-14,-16}

d) Y [n] = {14,-16,-14, 16}

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